in terms of the “drift” \(D^{(1)}=f(x)\)  and “diffusion” \(D^{(2)}=\gamma \)  Kramers–Moyal coefficients [1]}, [2]}, [3]}. Being the flow nonautonomous but dissipative, one can expect generically situations of statistical energy balance in which the pdf becomes stationary, \(\partial _tP_\mathrm {st}(x)=0\) , thus independent of the initial state. Then by defining \(\Phi (x):=-\int _{x_0}^xf(y)dy\) , it is immediate to find \(P_\mathrm {st}(x)=\mathcal {N}(x_0)\exp [-\Phi (x)/\gamma ]\) .
